Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication

Tazaki, Asahi; Takeuchi, Shintaro; Miyauchi, Suguru; Zhang, Lucy T.; Onishi, Ryo; Kajishima, Takeo

doi:info:doi/10.1017/jmech.2020.38

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タイトル	Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication
著者	Tazaki, Asahi Tazaki, Asahi
	Takeuchi, Shintaro Takeuchi, Shintaro
	Miyauchi, Suguru Miyauchi, Suguru
	Zhang, Lucy T. Zhang, Lucy T.
	Onishi, Ryo Onishi, Ryo
	Kajishima, Takeo Kajishima, Takeo
キーワード等	Lubrication
	Permeable membrane
	Pressure discontinuity
	Discrete-forcing immersed boundary method
内容	This article has been published in a revised form in Journal of Mechanics [https://doi.org/10.1017/jmech.2020.38]. This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © 2020 The Society of Theoretical and Applied Mechanics.
抄録	To understand the lubrication-dominated permeation through a membrane, numerical simulations of permeation through a moving corrugated permeable membrane is carried out with a fully validated numerical method. Through comparisons between the numerical results and the results of an asymptotic analysis of permeate flux (under an infinitesimal permeability condition) using Reynolds lubrication equation, the effect of permeation on lubrication and its inverse effect (i.e., the dependence of permeation on lubrication) are discussed. The linear and nonlinear dependences of the relaxation of the lubrication pressure due to membrane permeation are identified. The effect of the tangential component of the permeate flux is evaluated by a linear analysis, and the limitation of Reynolds-type lubrication is discussed.
公開者	Cambridge University Press
掲載誌名	Journal of Mechanics
刊行年月	2020-08-14
ISSN	17277191
ISSN	18118216
NCID	AA12373576
DOI (出版社版)	info:doi/10.1017/jmech.2020.38
URL	http://hdl.handle.net/11094/76915
権利情報	© 2020 The Society of Theoretical and Applied Mechanics
言語	英語
カテゴリ	学術雑誌論文 Journal Article

権利情報 (URL)	https://creativecommons.org/licenses/by-nc-nd/2.0/
著者版フラグ	author
NII資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
dcmi資源タイプ	text
DCTERMS.bibliographicCitation	Journal of Mechanics
DC.title	Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication
DC.creator	Tazaki, Asahi
	Takeuchi, Shintaro
	Miyauchi, Suguru
	Zhang, Lucy T.
	Onishi, Ryo
	Kajishima, Takeo
DC.publisher	Cambridge University Press
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2020-08-14
DC.identifier	info:doi/10.1017/jmech.2020.38
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/76915
DC.subject	Lubrication
	Permeable membrane
	Pressure discontinuity
	Discrete-forcing immersed boundary method
DC.description	This article has been published in a revised form in Journal of Mechanics [https://doi.org/10.1017/jmech.2020.38]. This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © 2020 The Society of Theoretical and Applied Mechanics.
DCTERMS.abstract	To understand the lubrication-dominated permeation through a membrane, numerical simulations of permeation through a moving corrugated permeable membrane is carried out with a fully validated numerical method. Through comparisons between the numerical results and the results of an asymptotic analysis of permeate flux (under an infinitesimal permeability condition) using Reynolds lubrication equation, the effect of permeation on lubrication and its inverse effect (i.e., the dependence of permeation on lubrication) are discussed. The linear and nonlinear dependences of the relaxation of the lubrication pressure due to membrane permeation are identified. The effect of the tangential component of the permeate flux is evaluated by a linear analysis, and the limitation of Reynolds-type lubrication is discussed.
DC.rights	© 2020 The Society of Theoretical and Applied Mechanics
DC.rights" scheme="DCTERMS.URI	https://creativecommons.org/licenses/by-nc-nd/2.0/
citation_title	Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication
citation_author	Tazaki, Asahi
	Takeuchi, Shintaro
	Miyauchi, Suguru
	Zhang, Lucy T.
	Onishi, Ryo
	Kajishima, Takeo
citation_publisher	Cambridge University Press
citation_language	英語
citation_date	2020-08-14
citation_journal_title	Journal of Mechanics
citation_issn	17277191
citation_issn	18118216
citation_doi	info:doi/10.1017/jmech.2020.38
citation_public_url	http://hdl.handle.net/11094/76915
citation_keywords	Lubrication
	Permeable membrane
	Pressure discontinuity
	Discrete-forcing immersed boundary method

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